2.1 Rates of Change and Tangents to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits and Limits at Infinity 2.5 Infinite Limits and Vertical Asymptotes 2.6 Continuity 2.7 Tangents and Derivatives at a Point

5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Rule 5.6 Substitution and Area Between Curves

6. Applications of Definite Integrals

6.1 Volumes by Slicing and Rotation About an Axis 6.2 Volumes by Cylindrical Shells 6.3 Lengths of Plane Curves 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass 6.7 Fluid Pressures and Forces

2.1 Rates of Change and Tangents to Curves 2.2 Limit of a Function and Limit Laws 2.3 The Precise Definition of a Limit 2.4 One-Sided Limits and Limits at Infinity 2.5 Infinite Limits and Vertical Asymptotes 2.6 Continuity 2.7 Tangents and Derivatives at a Point

5.1 Area and Estimating with Finite Sums 5.2 Sigma Notation and Limits of Finite Sums 5.3 The Definite Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Rule 5.6 Substitution and Area Between Curves

6. Applications of Definite Integrals

6.1 Volumes by Slicing and Rotation About an Axis 6.2 Volumes by Cylindrical Shells 6.3 Lengths of Plane Curves 6.4 Areas of Surfaces of Revolution 6.5 Work 6.6 Moments and Centers of Mass 6.7 Fluid Pressures and Forces